{"id":"https://openalex.org/W2109485941","doi":"https://doi.org/10.1142/s0218488503002272","title":"EFFICIENT ANDNESS-DIRECTED IMPORTANCE WEIGHTED AVERAGING OPERATORS","display_name":"EFFICIENT ANDNESS-DIRECTED IMPORTANCE WEIGHTED AVERAGING OPERATORS","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W2109485941","doi":"https://doi.org/10.1142/s0218488503002272","mag":"2109485941"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488503002272","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488503002272","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014478452","display_name":"Henrik Legind Larsen","orcid":"https://orcid.org/0000-0001-7636-0799"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"HENRIK LEGIND LARSEN","raw_affiliation_strings":["Dep. of Computer Science,  Aalborg University Esbjerg, Niels Bohrs Vej 8, Esbjerg, DK 6700, Denmark","Dep. of Computer Science, Aalborg University Esbjerg, Niels Bohrs Vej 8, Esbjerg, DK 6700, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Computer Science,  Aalborg University Esbjerg, Niels Bohrs Vej 8, Esbjerg, DK 6700, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Dep. of Computer Science, Aalborg University Esbjerg, Niels Bohrs Vej 8, Esbjerg, DK 6700, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014478452"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":2.6277,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.89837774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"supp01","first_page":"67","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6103425621986389},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5768262147903442},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5620882511138916},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5568140745162964},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5488066673278809},{"id":"https://openalex.org/keywords/weighted-arithmetic-mean","display_name":"Weighted arithmetic mean","score":0.4796738624572754},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.47572067379951477},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.423517644405365},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42016181349754333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40965571999549866},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21822145581245422},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14310428500175476}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6103425621986389},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5768262147903442},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5620882511138916},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5568140745162964},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5488066673278809},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.4796738624572754},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.47572067379951477},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.423517644405365},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42016181349754333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40965571999549866},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21822145581245422},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14310428500175476},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218488503002272","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488503002272","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/ffc38c90-0020-11da-b4d5-000ea68e967b","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/ffc38c90-0020-11da-b4d5-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Larsen, H L 2003, 'Efficient Andness-directed Importance Weighted Averaging Operators', International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 11, pp. 67-82.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320971","display_name":"Monash University","ror":"https://ror.org/02bfwt286"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W22165274","https://openalex.org/W1521108275","https://openalex.org/W1606108510","https://openalex.org/W1954793731","https://openalex.org/W1971503800","https://openalex.org/W1972136707","https://openalex.org/W1975325397","https://openalex.org/W1996939941","https://openalex.org/W2019260194","https://openalex.org/W2025010014","https://openalex.org/W2026434020","https://openalex.org/W2033199380","https://openalex.org/W2053738210","https://openalex.org/W2060907774","https://openalex.org/W2064240119","https://openalex.org/W2068632118","https://openalex.org/W2071264973","https://openalex.org/W2087656541","https://openalex.org/W2099351829","https://openalex.org/W2109773197","https://openalex.org/W2121651028","https://openalex.org/W2151423875","https://openalex.org/W2166583165","https://openalex.org/W4231008118","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2088772087","https://openalex.org/W2040498587","https://openalex.org/W1494981348","https://openalex.org/W2081647779","https://openalex.org/W159923719","https://openalex.org/W3197709379","https://openalex.org/W3043908740","https://openalex.org/W3092652120","https://openalex.org/W2051710107","https://openalex.org/W2024843650"],"abstract_inverted_index":{"Importance":[0,94],"weighted":[1,39,134,195],"averaging":[2,60,196],"is":[3,62,168],"a":[4,32,35,42,51,81],"central":[5],"information":[6,25],"processing":[7],"task":[8,57],"in":[9,116,148],"multicriteria":[10],"decision":[11],"problems":[12,28],"of":[13,37,44,53,58,75,83,113,123,132],"many":[14],"kinds,":[15],"such":[16,84],"that":[17,131],"selection,":[18],"classification,":[19],"object":[20],"recognition,":[21],"query":[22],"answering,":[23],"and":[24,41,204],"retrieval.":[26],"These":[27],"are":[29,101],"characterized":[30],"by":[31,165],"query,":[33],"i.e.,":[34],"set":[36,43],"importance":[38,133,194],"criteria,":[40],"options":[45],"queried.":[46],"While":[47],"each":[48],"criterion":[49,77],"determines":[50],"ranking":[52,71],"the":[54,56,59,73,76,88,92,114,117,124,184],"options,":[55],"operator":[61],"essentially":[63],"to":[64,127,130,153,172,188,202],"aggregate":[65],"these":[66],"rankings":[67],"into":[68],"an":[69,104,109],"overall":[70],"under":[72],"consideration":[74],"importance.":[78],"We":[79],"present":[80],"class":[82],"operators,":[85,197],"based":[86],"on":[87],"power":[89],"means,":[90],"namely":[91],"Andness-directed":[93],"Weighted":[95],"Averaging":[96],"(AIWA)":[97],"operators.":[98,138,160],"The":[99,120],"operators":[100,125,141,167,186],"equipped":[102],"with":[103,180],"approximate":[105],"andness":[106,115,192],"measure":[107],"allowing":[108,170],"easy,":[110],"direct":[111],"control":[112],"unit":[118],"interval.":[119],"aggregation":[121],"behavior":[122],"appears":[126],"be":[128,189],"similar":[129],"maximum":[135],"entropy":[136],"OWA":[137,159],"However,":[139],"AIWA":[140,166,185],"aggregates":[142],"n":[143],"arguments":[144],"(criterion":[145],"satisfaction":[146],"values)":[147],"O(n)":[149],"time":[150,157],"as":[151,191,198,200],"opposed":[152],"O(n":[154],"log":[155],"n)":[156],"for":[158],"An":[161],"interesting":[162],"property":[163],"provided":[164],"decomposability,":[169],"us":[171],"consider":[173],"new":[174],"or":[175],"improved":[176],"criteria":[177],"without":[178],"recomputing":[179],"all":[181],"arguments.":[182],"Overall,":[183],"appear":[187],"effective":[190],"controlled,":[193],"well":[199],"easy":[201],"apply":[203],"computationally":[205],"efficient.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
